Let's set our two numbers as x and y:
When two numbers multiply 25 --> xy = 25
Add to 26 --> x + y =26
The equations:
- xy = 25 <-- equation 1
- x + y = 26 <-- equation 2
Now Solve:
Solve for y in the equation 2:
y = 26 - x <-- equation 3
Plug equation 3's value of y into equation 1
x(26 - x) = 25
-x^2 + 26x - 25= 0
x^2 - 26x + 25 = 0
(x - 1) (x -25) = 0
Thus say x = 1, then y = 25, it can be either way that x = 25 and y = 1, but our two numbers are 1 and 25
Hope that helps!
